The quasiternary system Ag 2 Se-CdSe-In 2 Se 3 was investigated by differential thermal analysis, XRD, microstructure analysis and microhardness measurements. From the results of the investigation and literature data, six vertical sections, the isothermal section at 820 K and the liquidus surface projection were constructed. The nature and the temperatures of the invariant processes in the Ag 2 Se-CdSe-In 2 Se 3 system were determined. The existence of a quaternary compound, Ag 0.4 Cd 0.4 In 6.3 Se 10 , was established; the compound melts incongruently at 1055 K. Phase diagram / Thermal analysis / X-ray powder diffraction / Ag 2 Se-CdSe-In 2 Se 3